Free Grade 3 Working with Introducing Sampling Essentials Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Essentials: 12 real questions with a full answer key and worked solutions. Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.
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30 min
24
Learning objectives
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- UnderstandExplain working with introducing sampling essentials
Explain working with introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials
Calculate working with introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials
Compare working with introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials
Justify working with introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Working with Introducing Sampling Essentials works
Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.In a survey: Red 5, Blue 4, Green 10, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 9, Blue 4, Green 15, Yellow 15. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 7, Blue 3, Green 15, Yellow 12. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 11, Blue 11, Green 6, Yellow 8. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 4, Blue 2, Green 6, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 5, Blue 2, Green 7, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 5, Blue 12, Green 8, Yellow 10. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 6, Blue 15, Green 8, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 12, Blue 4, Green 3, Yellow 9. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 10, Blue 6, Green 3, Yellow 9. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 10, Blue 10, Green 12, Yellow 7. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 10, Blue 10, Green 12, Yellow 3. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 48°
Total = 30. Blue fraction = 4/30. 4/30 × 360° = 48°.
2. 125.6°
Total = 43. Green fraction = 15/43. 15/43 × 360° = 125.6°.
3. 145.9°
Total = 37. Green fraction = 15/37. 15/37 × 360° = 145.9°.
4. 110°
Total = 36. Red fraction = 11/36. 11/36 × 360° = 110°.
5. 172.2°
Total = 23. Yellow fraction = 11/23. 11/23 × 360° = 172.2°.
6. 27.7°
Total = 26. Blue fraction = 2/26. 2/26 × 360° = 27.7°.
7. 82.3°
Total = 35. Green fraction = 8/35. 8/35 × 360° = 82.3°.
8. 138.5°
Total = 39. Blue fraction = 15/39. 15/39 × 360° = 138.5°.
9. 38.6°
Total = 28. Green fraction = 3/28. 3/28 × 360° = 38.6°.
10. 128.6°
Total = 28. Red fraction = 10/28. 10/28 × 360° = 128.6°.
11. 110.8°
Total = 39. Green fraction = 12/39. 12/39 × 360° = 110.8°.
12. 102.9°
Total = 35. Red fraction = 10/35. 10/35 × 360° = 102.9°.
Worked examples
In a survey: Red 4, Blue 12, Green 12, Yellow 11. In a pie chart, what angle does Red get?
- Total = 39.
- Red fraction = 4/39.
- 4/39 × 360° = 36.9°.
- Answer: 36.9°
In a survey: Red 4, Blue 10, Green 5, Yellow 12. In a pie chart, what angle does Red get?
- Total = 31.
- Red fraction = 4/31.
- 4/31 × 360° = 46.5°.
- Answer: 46.5°
In a survey: Red 14, Blue 10, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 50.
- Yellow fraction = 12/50.
- 12/50 × 360° = 86.4°.
- Answer: 86.4°
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Uses 100 instead of 360 for pie-chart angles.
Correction: A full circle is 360°.
Forgets to find the total first.
Correction: Add all frequencies before working out fractions.
Teacher tips
- · Have pupils check that all angles add to 360°.
Parent tips
- · Look at charts in the news and ask what they show.
Real-life applications
- · News infographics, survey results.
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- What should a learner already know before this?
- Start with Rules and Methods in Introducing Sampling Essentials, Key Vocabulary of Introducing Sampling Essentials, Data Presentation. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Working with Introducing Sampling Essentials?
- Move on to Introducing Sampling Essentials in Examinations, Introducing Sampling Techniques, Introducing Sampling Word Problems, Introducing Sampling Common Errors, which build directly on this idea.
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